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Finding the Fourth Proportional to 564.19, 846.41 and 198.98

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Solution

The fourth proportional to 564.19, 846.41 and 198.98 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 846.41 = 198.98 : x
  2. Step 2: Convert to fraction form
    564.19/846.41 = 198.98/x
  3. Step 3: Cross multiply
    564.19x = 846.41 × 198.98
  4. Step 4: Simplify right side
    564.19x = 168,418.66
  5. Step 5: Solve for x
    x = 168,418.66/564.19
  6. Step 6: Final answer
    x = 298.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.